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resource research Informal/Formal Connections
This "mini-poster," a two-page slideshow presenting an overview of the project, was presented at the 2023 AISL Awardee Meeting.
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TEAM MEMBERS: Aaron Wilson Mayra Ortiz Xiaohui Wang Sergey Grigorian
resource project Informal/Formal Connections
Mentoring is a widely accepted strategy for helping youth see how their interests and abilities fit with education and career pathways; however, more research is needed to better understand how different approaches to mentoring impact youth participants. Near-peer mentoring can be a particularly impactful approach, particularly when youth can identify with their mentors. This project investigates three approaches to near-peer mentoring of high-school-aged Hispanic youth by Hispanic undergraduate mathematics majors. Mentoring approaches include undergraduates' visits to high school classrooms, mathematics social media, and a summer math research camp. These three components of the intervention are aimed at facilitating enjoyment of advanced mathematics through dynamic, experiential learning and helping high school aged youth to align themselves with other doers of mathematics on the academic stage just beyond them, i.e., college.

Using a Design-Based Research approach that involves mixed methods, the research investigates how the three different near-peer mentoring approaches impact youth participants' attitudes and interests related to studying mathematics and pursuing a career in mathematics, the youth's sense of whether they themselves are doers of mathematics, and the youth's academic progress in mathematics. The project design and research study focus on the development of mathematical identity, where a mathematics identity encompasses a person's self-understanding of himself or herself in the context of doing mathematics, and is grounded in Anderson (2007)'s four faces of identity: Engage, Imagine, Achieve, and Nature. The study findings have the potential to uncover associations between informal interactions involving the near-peer groups of high school aged youth and undergraduates seen to impact attitudes, achievement, course selection choices, and identities relative to mathematics. It also responds to an important gap in current understandings regarding effective communication of mathematics through social media outlets, and results will describe the value of in-person mathematical interactions as well as online interactions through social media. The study will result in a model for using informal near-peer mentoring and social media applications for attracting young people to study and pursue careers in STEM. This project will also result in a body of scripted MathShow presentations and materials and Math Social Media content that will be publicly available to audiences internationally via YouTube and Instagram.

This Research in Service to Practice project is funded by the Advancing Informal STEM Learning (AISL) program, which seeks to advance new approaches to, and evidence-based understanding of, the design and development of STEM learning in informal environments. This includes providing multiple pathways for broadening access to and engagement in STEM learning experiences, advancing innovative research on and assessment of STEM learning in informal environments, and developing understandings of deeper learning by participants.

This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.
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TEAM MEMBERS: Aaron Wilson Sergey Grigorian Xiaohui Wang Mayra Ortiz
resource project Media and Technology
Purpose: An estimated 5 to 8% of elementary school students have some form of memory or cognitive deficit that inhibits learning basic math. Researchers have identified several areas where children with math learning difficulties struggle. These include a strong sense of number facts to quickly and accurately perform operations on single digit numbers, the use of strategies to solve problems which have not yet been memorized, a sense to figure out whether or not an answer is reasonable, and self-monitoring to assess one's own efficacy and understanding. To support students with math learning difficulties in grades 1 to 4, this project team will develop a series of apps for touch-screen tablets that encourage single digit operational fluency, conceptual understanding, strategy awareness, and self-understanding.

Project Activities: During Phase I project in 2012, the research team developed a prototype of the single digit addition game, following an iterative process incorporating feedback from teachers and students having difficulty with math. Nineteen students participated in a pilot study, and the researchers found that the prototype functioned well and that users were engaged by the game. In Phase II, the team will build and refine the back end system, design and develop the teacher website, and create content for games in subtraction, multiplication, and division. Researchers will carry out a pilot test of the usability and feasibility, fidelity of implementation, and promise of the game to improve learning. Students in first to fourth grade identified by teachers as having the greatest difficulty with math will participate in the pilot study. Half of the 120 students participating in the pilot study will be randomly selected to play the game as a supplement to classroom learning whereas the other half will not have access. Students in the control group will be provided the games at the end of the study. Analyses will compare pre- and post-test math scores.

Product: The web-based game, MathFacts, will include a series of apps for touch-screen tablet computers to support math learning for 1st to 4th grade students with major or sometimes intractable learning difficulties. In the game, students will learn content through mini-lessons, engage with problems in practice and speed rounds, and then receive formative feedback on their performance. Students will use and manipulate blocks, linker tubes, number lines, and interact with engaging pedagogical agents such as parrots and sloths. Students will set goals, advance to more challenging levels, and engage in competition. The game will be self-paced and will provide individualized formative assessment scaffolding when students do not know the answer to a question. A teacher management system will support professional development and will produce reports to guide instruction. The intended outcomes from gameplay will include increased fluency, conceptual understanding, strategy awareness, self-assessment, and motivation of basic math.
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TEAM MEMBERS: Kara Carpenter
resource project Media and Technology
Purpose: There is concern about a decline in mathematics achievement scores among U.S. students during the middle school years. For example, while 4th grade U.S. students rank 8th overall on an international mathematics comparison, by 10th grade U.S. student's drop significantly to 25th in the same comparison. Some researchers posit that much of this decline relates to how math is taught in the U.S. and with how students become less engaged as learners in middle school. The purpose of this project is to develop a web-based game to engage 7h grade students in a narrative-based story which will apply learning of content and skills aligned to the Common Core State Standards (CCSS) in mathematics.

Project Activities: During Phase I in 2012, the team developed a functioning prototype and conducted usability and feasibility research with fourteen 7th grade students. Researchers found that the prototype functioned as intended and that students were highly engaged while playing the game. In Phase II, the team will develop a fully-functional user interface with animated characters, interactivity across student users, narrative scripts and accompanying art assets, 36 problem sets, and student and teacher dashboards and databases. After development is complete, a pilot study will examine the usability and feasibility, fidelity of implementation, and the promise of the game to improve math learning. The study will include 120 students in 6 classrooms in three schools, with one classroom per school randomly assigned to use the game and the other half assigned to a business-as-usual control. Analyses will compare student scores on pre and post mathematics measures.

Product: Empires is a web-based game that addresses 36 pre-algebra Common Core State Standards in mathematics for 7th and 8th grades. The game follows a storyline in a recreation of an ancient empire which is at the brink of agricultural revolution and of becoming a trade economy. As students play the game, they engage in math-focused activities to drive the action, such as taxing citizens to learn ratios and proportions, allocating resources to learn percentages, and measuring the distance and time between a neighboring empire by applying the principles of the Pythagorean Theorem. As a socially networked game, students will interact with other students in the class to complete trades that lead to encounters with different math problems. The game will include two helpful, funny, advisors who will scaffold learning through mathematical discourse, arguing over the next most important thing to do. The game design architecture will work on a wide range of computers, including desktops and iPads. A teacher's guide and companion website will provide guidance to classroom activities that complement the game.
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TEAM MEMBERS: Scott Laidlaw
resource project Media and Technology
This project team is developing and testing a prototype of the Teachley Analytics Library, a platform intended to host third party-developed mathematics game apps for students in kindergarten through Grade 8. The prototype will include a dashboard to host games and generate formative assessment data to inform teacher instruction. In the Phase I pilot study, the team will examine whether the prototype functions as planned with 40 Grade 1 and 2 math teachers. The study will test if teachers are able to implement games within the classroom and utilize data to inform practice, and whether students are engaged by gameplay.
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TEAM MEMBERS: Kara Carpenter
resource project Media and Technology
This project team will develop and test a prototype of LifeSim, intended to be a financial literacy game app for high school students to strengthen mathematical skills and practical life knowledge. In the game, high school students will manage hypothetical investment funds and be challenged to understand compounded interest and debt. The app will include materials for math teachers to integrate the game within instructional practice. At the end of Phase I in a pilot study with 50 students, the researchers will examine whether the prototype functions as planned and if students are engaged during gameplay.
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TEAM MEMBERS: Daniel Cook
resource project Media and Technology
In prior research and development, the team developed WuzzitTrouble, an iPhone and iPad gaming app where players solve problems using number sense mathematical strategies. This project will develop and test a prototype of an adaptive engine for this game, intended to tailor gameplay to the skill levels of individual students and to provide support (or scaffold learning) for students with weaker skills. The Phase I pilot will involve six Grade 6 classrooms and 100 students. The study will examine whether the prototype functions as planned, and if students of different skill levels are engaged and able to play the game with the support of the prototype’s adaptive engine.
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TEAM MEMBERS: Randy Wiener
resource project Media and Technology
Purpose: Purpose: This project team will fully develop and test Teachley Connect, a platform that syncs a variety of third-party math games to give elementary schools formative assessment data and intervention support. Mobile math games provide opportunities for students to access educationally-meaningful content in and out of the classroom and to supplement instruction. There are a number of examples of math apps that show promise for supporting and assessing student learning in different areas of mathematics, yet few apps in the marketplace provide meaningful data that teachers can use. Many games provide an overall score at the end of the session, but do not help teachers know what skills students are struggling with or how to provide additional support.

Project Activities: During Phase I, (completed in 2015), the team developed a prototype of Teachley Connect, which enables the secure transfer of game and learning data between third-party math games and the Teachley servers. At the end of Phase I, researchers completed a pilot study with 20 students and two teachers and demonstrated that the prototype operated as intended with important trends indicating that the system promotes student engagement and less time spent seeking help. In Phase II, the team will add additional third party math apps to the platform, strengthen the backend management system to tag user game-play data, and build out the teacher reporting dashboard to inform instruction and identify apps to address particular student and class needs. After development is complete, the research team will conduct a larger pilot study to assess the feasibility and usability, fidelity of implementation, and the promise of the Teachley Connect for teachers to use formative assessment data to inform classroom practice, select apps to address individual student needs, and support student math learning. The study will include 12 (grade K to 3) classrooms and randomly assign them into one of three groups: 1) apps only, 2) Teachley-enabled apps, or 3) Teachley-enabled apps + data. Researchers will compare pre-and-post scores of student's math learning, classroom observations, and teacher surveys/interviews.

Product: Teachley Connect will be a mobile tablet-based platform that uses games to give elementary schools rich formative assessment data and intervention support. Teachley Connect will permit students to continue playing exactly where they left off on any tablet. The platform will also connect apps into a single teacher dashboard, providing teachers detailed reports on student performance across games, with insights for informing individual or whole group instruction. The platform will include teacher resources to support the alignment of game play with learning goals and to support implementation.
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TEAM MEMBERS: Kara Carpenter
resource project Media and Technology
Purpose: This project team will fully develop and test Cyberchase Fractions Quest, a web-based mathematics game for students in grade 3 and 4. Research shows that inadequate understanding of fractions can persist from early grades through higher education, and that success in fractions predicts future success in mathematics and other STEM subjects.

Project Activities: During Phase I (completed in 2016), the team developed a prototype of Cyberchase Fractions Quest, including an interactive number line game with four levels of challenges, and a tool to scaffold learning through hints and provide encouragement as students progress. At the end of Phase I, the research team conducted a pilot study over one week with 60 grade 4 students, half of whom were randomly assigned to use the prototype and half assigned to paper-based fractions activities. Results revealed that the prototype functioned as intended, that students were engaged during gameplay, and that from pre- to post-test, students using the prototype increased significantly in their knowledge of number line problems compared to the control group. In Phase II, the team will finalize the design, artwork, and animation, the formative and summative assessment component, and learning management system. After development is complete, the researchers will carry out a pilot study to assess the usability and feasibility, fidelity of implementation, and promise of the game to improve student learning of fractions over a 5-week period. The study will include four classrooms of grade 3 students, two of which will be randomly assigned, to use the games to supplement in-class lessons while the others will use paper-based activities. The researchers will compare pre-and-post scores for student learning of fractions. The study will also track teacher implementation.

Product: The final product is Cyberchase Fractions Quest—a math game based on the storyline of PBS children's television series, Cyberchase. In the game, students in grades 3 and 4 will apply learning fractions within three contexts: areas and regions (such as shapes), sets (groups of objects), and on a number line. The game will identify specific areas where students struggle and will introduce challenges to support individualized learning. Similar to other popular game apps, student will receive immediate feedback from one to three stars based on how well they perform on each challenge as well as in-game rewards as they progress toward mastery. The game will include teacher resources for classroom implementation, and an educator dashboard presenting results.
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TEAM MEMBERS: Gary Goldberger
resource research Media and Technology
Novice teachers require support in learning to attend and respond to students’ thinking as expert teachers do. Video clubs in which groups of teachers respond to videos of one another’s classrooms can help. Van Es and Sherin describe how a video club helped teachers make space for student thinking to emerge, probe students’ understanding, and learn from their students while teaching.
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TEAM MEMBERS: Tammy Cook-Endres
resource project Media and Technology
Moving Beyond Earth Programming: “STEM in 30” Webcasts. The Smithsonian’s National Air and Space Museum (NASM) will develop nine “STEM in 30” webcasts which will be made available to teachers and students in grades 5-8 classrooms across the country. The primary goal of this program is to increase interest and engagement in STEM for students. Formative and summative evaluations will assess the outcomes for the program, which include the following:

Increased interest in STEM and STEM careers, Increased understanding of science, technology, engineering and mathematics (STEM), Increased awareness and importance of current and future human space exploration, and Increased learning in the content areas.

This series of live 30-minute webcasts from the National Air and Space Museum and partner sites focus on STEM subjects that integrate all four areas. The webcasts will feature NASA and NASM curators, scientists, and educators exploring STEM subjects using museum and NASA collections, galleries, and activities. During the 30-minute broadcasts, students will engage with museum experts through experiments and activities, ask the experts questions, and answer interactive poll questions. After the live broadcasts, NASM will also archive the webcasts in an interactive “STEM in 30” Gallery.
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TEAM MEMBERS: Roger Launius
resource project Media and Technology
The Virginia Institute of Marine Science (VIMS) and The Watermen's Museum, Yorktown, VA, will produce an underwater robotics research and discovery education program in conjunction with time-sensitive, underwater archeological research exploring recently discovered shipwrecks of General Cornwallis's lost fleet in the York River. The urgency of the scientific research is based upon the dynamic environment of the York River with its strong tidal currents, low visibility, and seasonal hypoxia that can rapidly deteriorate the ships, which have been underwater since 1781. Geophysical experts believe that further erosion is likely once the wrecks are exposed. Given the unknown deterioration rate of the shipwrecks coupled with the constraints of implementing the project during the 2011-2012 school-year, any delays would put the scientific research back at least 18 months - a potentially devastating delay for documenting the ships. The monitoring and studying of the historic ships will be conducted by elementary through high school-aged participants and their teachers who will collect the data underwater through robotic missions using VideoRay Remotely Operated Vehicles (ROVs) and a Fetch Automated Underwater Vehicle (AUV) from a command station at The Watermen's Museum. Students and teachers will be introduced to the science, mathematics, and integrated technologies associated with robotic underwater research and will experience events that occur on a real expedition, including mission planning, execution, monitoring, and data analysis. Robotic missions will be conducted within the unique, underwater setting of the historical shipwrecks. Such research experiences and professional development are intended to serve as a key to stimulating student interest in underwater archeological research, the marine environment and ocean science, advanced research using new technologies, and the array of opportunities presented for scientific and creative problem solving associated with underwater research. A comprehensive, outcomes-based formative and summative, external evaluation of the project will be conducted by Dr. L. Art Safer, Loyola University. The evaluation will inform the project's implementation efforts and investigate the project's impact. The newly formed partnership between the Waterman's Museum and VIMS will expand the ISE Program's objectives to forge new partnerships among informal venues, and to expand the use of advanced technologies for informal STEM learning. Extensive public dissemination during and after the project duration, includes but is not limited to, hosting an "Expedition to the Wrecks" web portal on the VIMS BRIDGE site for K-12 educators providing real-time results of the project and live webcasts. The website will be linked to the education portal at the Association for Unmanned Vehicle Systems International, the world's largest organization devoted to promoting unmanned systems and to the FIRST Robotics community through the Virginia portal. The website will be promoted through scientific societies, the National Marine Educators Association, National Science Teachers Association, and ASTC. Links will be provided to the Center for Archeological Research at the College of William and Mary and the Immersion Presents web portal--consultants to Dr. Bob Ballard's K-12 projects and JASON explorations. The NPS Colonial National Historic Park and the Riverwalk Landing will create public exhibits about the shipwreck's archeological and scientific significance, and will provide live observation of the research and the exploration technologies employed in this effort.
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TEAM MEMBERS: Mark Patterson